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Finding the Fourth Proportional to 14,374.45, 21,517.08 and 7,784.29

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Solution

The fourth proportional to 14,374.45, 21,517.08 and 7,784.29 is: 11,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.45 : 21,517.08 = 7,784.29 : x
  2. Step 2: Convert to fraction form
    14,374.45/21,517.08 = 7,784.29/x
  3. Step 3: Cross multiply
    14,374.45x = 21,517.08 × 7,784.29
  4. Step 4: Simplify right side
    14,374.45x = 167,495,190.67
  5. Step 5: Solve for x
    x = 167,495,190.67/14,374.45
  6. Step 6: Final answer
    x = 11,652.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.